Favorite Bars:
The Midnight, The Bull, The Top. I hear Tall Paul's is really great, but I haven't been there yet
Restaurants:
Boca Fiesta, Emiliano's, Big Lou's, Chopstix
Markets:
The downtown farmers' market, I guess. The Publix on Archer near I-75 (next to Old Navy and Target) is probably the best big grocery store, but many are partial to Ward's for good reason
Parks/trails:
The La Chua trail at the Alachua sink can't be beat, especially if you're into wildlife (read: LOTS of gators). Also, the adjacent Payne's Prairie State Park is great, too.